Finite Math Examples

$\frac{x^{2 + x - 6}}{x^{2} - 7 x + 10}$

Step 1

Subtract $6$ from $2$ .

$\frac{x^{x - 4}}{x^{2} - 7 x + 10}$

Step 2

Factor $x^{2} - 7 x + 10$ using the AC method.

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Step 2.1

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $10$ and whose sum is $- 7$ .

$- 5, - 2$

Step 2.2

Write the factored form using these integers.

$\frac{x^{x - 4}}{(x - 5) (x - 2)}$